163805777349120 has 800 divisors, whose sum is σ = 589568526360000. Its totient is φ = 43468569575424.

The previous prime is 163805777349103. The next prime is 163805777349131. The reversal of 163805777349120 is 21943777508361.

163805777349120 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 0 + 5 + 77 + 73 + 491 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39216128472 + ... + 39216132648.

It is an arithmetic number, because the mean of its divisors is an integer number (736960657950).

It is a 2-persistent number, because it is pandigital, and so is 2⋅163805777349120 = 327611554698240, but 3⋅163805777349120 = 491417332047360 is not.

Almost surely, 2^{163805777349120} is an apocalyptic number.

163805777349120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163805777349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294784263180000).

163805777349120 is an abundant number, since it is smaller than the sum of its proper divisors (425762749010880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163805777349120 is an equidigital number, since it uses as much as digits as its factorization.

163805777349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 163805777349120 in words is "one hundred sixty-three trillion, eight hundred five billion, seven hundred seventy-seven million, three hundred forty-nine thousand, one hundred twenty".